Advances in Difference Equations
Volume 2009 (2009), Article ID 104310, 13 pages
doi:10.1155/2009/104310
Research Article

Exponential Stability of Difference Equations with Several Delays: Recursive Approach

Leonid Berezansky1 and Elena Braverman2

1Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel
2Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary AB, T2N 1N4, Canada

Received 8 January 2009; Revised 16 April 2009; Accepted 23 April 2009

Academic Editor: Istvan Gyori

Copyright © 2009 Leonid Berezansky and Elena Braverman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We obtain new explicit exponential stability results for difference equations with several variable delays and variable coefficients. Several known results, such as Clark's asymptotic stability criterion, are generalized and extended to a new class of equations.